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Show that pointsA (a , b + c), B (b , c ...

Show that points`A (a , b + c)`, `B (b , c + a)`, `C (c , a + b)`are collinear.

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To show that the points A(a, b+c), B(b, c+a), and C(c, a+b) are collinear, we can use the concept of the area of a triangle formed by these three points. If the area of the triangle is zero, then the points are collinear. ### Step-by-Step Solution: 1. **Identify the Points**: - Let \( A = (a, b+c) \) - Let \( B = (b, c+a) \) - Let \( C = (c, a+b) \) ...
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